Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 612 · 40 sums

The method (Keep the balance): 3x means 3 × x. "5 more" → + 5, "5 fewer" → − 5, "5 times" → 5n, "shared among 5" → n ÷ 5. Value of an expression: put the number in place of the letter, then work it out — 3x + 5 when x = 4 is 12 + 5 = 17. Solve x + a = b by taking a from both sides; x − a = b by adding a; ax = b by dividing by a; x ÷ a = b by multiplying by a. Check by putting your answer back into the equation.

1. 1.Solve: x + 3 = 14. What is x?
2. 2.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 6 letters?
3. 3.Find the value of 3x − 17 when x = 6.
4. 4.Priya has p mangoes. A friend has 6 more. Which expression shows how many mangoes the friend has? (a) p ÷ 6 (b) p − 6 (c) p + 6 (d) 6p
5. 5.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 13 letters?
6. 6.Karan has n mangoes. A friend has 2 fewer. Which expression shows how many mangoes the friend has? (a) n ÷ 2 (b) n − 2 (c) 2n (d) n + 2
7. 7.Find the value of 2n − 9 when n = 10.
8. 8.Solve: t − 3 = 10. What is t?
9. 9.Solve: 10x = 170. What is x?
10. 10.Find the value of 4m − 43 when m = 11.
11. 11.Ananya shares p crayons equally among 9 friends. Which expression shows how many crayons each friend gets? (a) 9p (b) p − 9 (c) p ÷ 9 (d) p + 9
12. 12.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 18 letters?
13. 13.Solve: 4m = 72. What is m?
14. 14.Solve: p + 6 = 21. What is p?
15. 15.Find the value of 4x + 19 when x = 12.
16. 16.Find the value of 7a + 9b when a = 10 and b = 8.
17. 17.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 8 letters?
18. 18.Nisha has k pencils. A friend has 7 times as many. Which expression shows how many pencils the friend has? (a) 7k (b) k + 7 (c) k ÷ 7 (d) k − 7
19. 19.Find the value of 5a + 6b when a = 7 and b = 1.
20. 20.Nisha has m laddoos. A friend has 3 fewer. Which expression shows how many laddoos the friend has? (a) 3m (b) m + 3 (c) m ÷ 3 (d) m − 3
21. 21.Find the value of 6a + 7b when a = 3 and b = 1.
22. 22.Isha shares n crayons equally among 5 friends. Which expression shows how many crayons each friend gets? (a) n + 5 (b) n ÷ 5 (c) n − 5 (d) 5n
23. 23.Find the value of 5y − 41 when y = 11.
24. 24.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 22 letters?
25. 25.Find the value of 4t + 2 when t = 12.
26. 26.Solve: n − 4 = 14. What is n?
27. 27.Find the value of 8x − 20 when x = 3.
28. 28.Ishaan has k balls. A friend has 2 more. Which expression shows how many balls the friend has? (a) k + 2 (b) k ÷ 2 (c) 2k (d) k − 2
29. 29.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 14 letters?
30. 30.Find the value of 8a + 3b when a = 1 and b = 4.
31. 31.Find the value of 5m + 13 when m = 11.
32. 32.Find the value of 9a + 9b when a = 3 and b = 5.
33. 33.Solve: 12p = 168. What is p?
34. 34.Find the value of 9x + 4 when x = 2.
35. 35.Solve: t ÷ 6 = 15. What is t?
36. 36.Solve: 2m = 10. What is m?
37. 37.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 12 letters?
38. 38.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 18 letters?
39. 39.Find the value of 5m − 1 when m = 2.
40. 40.Find the value of 5a + 3b when a = 3 and b = 3.

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